Question

What happens when you square a binomial?

Answer 1

I am not sure about what you need, but have a look:

Explanation:

If you have a binomial such as `(a+b)` and you square it you get:
`(a+b)^2`
but this is the same as:
`(a+b)(a+b)`

exactly as `4^2=4xx4`.

The result of `(a+b)(a+b)` is interesting because you need to multiply each term of the first bracket by each term of the second and add the results!
`(a+b)(a+b)=a*a+a*b+b*a+b*b=a^2+2ab+b^2`

Try by yourself with a difficult one: `(a-b)^2` remembering to consider the signs of each term!